Search a number
-
+
2001102120099 = 3374114893337
BaseRepresentation
bin11101000111101010111…
…110110010010010100011
321002022012020200100112000
4131013222332302102203
5230241224120320344
64131143231135043
7264401114241135
oct35075276622243
97068166610460
102001102120099
11701731a83a45
122839b1074483
1311691a9a8044
146cbd4dc1055
15370beb31a69
hex1d1eafb24a3

2001102120099 has 8 divisors (see below), whose sum is σ = 2964595733520. Its totient is φ = 1334068080048.

The previous prime is 2001102120053. The next prime is 2001102120163. The reversal of 2001102120099 is 9900212011002.

It is not a de Polignac number, because 2001102120099 - 211 = 2001102118051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 74114893337 = 2001102120099 / (2 + 0 + 0 + 1 + 1 + 0 + 2 + 1 + 2 + 0 + 0 + 9 + 9).

It is not an unprimeable number, because it can be changed into a prime (2001102120799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37057446642 + ... + 37057446695.

It is an arithmetic number, because the mean of its divisors is an integer number (370574466690).

Almost surely, 22001102120099 is an apocalyptic number.

2001102120099 is a deficient number, since it is larger than the sum of its proper divisors (963493613421).

2001102120099 is an equidigital number, since it uses as much as digits as its factorization.

2001102120099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74114893346 (or 74114893340 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 2001102120099 in words is "two trillion, one billion, one hundred two million, one hundred twenty thousand, ninety-nine".

Divisors: 1 3 9 27 74114893337 222344680011 667034040033 2001102120099